432248544 has 144 divisors (see below), whose sum is σ = 1512961632. Its totient is φ = 113992704.

The previous prime is 432248521. The next prime is 432248561. The reversal of 432248544 is 445842234.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 432248499 and 432248508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17962 + ... + 34454.

It is an arithmetic number, because the mean of its divisors is an integer number (10506678).

Almost surely, 2^432248544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432248544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756480816).

432248544 is an abundant number, since it is smaller than the sum of its proper divisors (1080713088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432248544 is a wasteful number, since it uses less digits than its factorization.

432248544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16529 (or 16518 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 432248544 is about 20790.5878704764. The cubic root of 432248544 is about 756.0975770583.

The spelling of 432248544 in words is "four hundred thirty-two million, two hundred forty-eight thousand, five hundred forty-four".